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Simplifying 4(k + -2) + -8 = 6k + -1(5k + -2) Reorder the terms: 4(-2 + k) + -8 = 6k + -1(5k + -2) (-2 * 4 + k * 4) + -8 = 6k + -1(5k + -2) (-8 + 4k) + -8 = 6k + -1(5k + -2) Reorder the terms: -8 + -8 + 4k = 6k + -1(5k + -2) Combine like terms: -8 + -8 = -16 -16 + 4k = 6k + -1(5k + -2) Reorder the terms: -16 + 4k = 6k + -1(-2 + 5k) -16 + 4k = 6k + (-2 * -1 + 5k * -1) -16 + 4k = 6k + (2 + -5k) Reorder the terms: -16 + 4k = 2 + 6k + -5k Combine like terms: 6k + -5k = 1k -16 + 4k = 2 + 1k Solving -16 + 4k = 2 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -16 + 4k + -1k = 2 + 1k + -1k Combine like terms: 4k + -1k = 3k -16 + 3k = 2 + 1k + -1k Combine like terms: 1k + -1k = 0 -16 + 3k = 2 + 0 -16 + 3k = 2 Add '16' to each side of the equation. -16 + 16 + 3k = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 3k = 2 + 16 3k = 2 + 16 Combine like terms: 2 + 16 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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